An Introduction to Dynamical Systems and Chaos
This tutorial will develop the basic ingredients necessary for modeling and understanding simple (and not so simple) non-linear dynamical systems. The goal of these exercises are to demonstrate you that you can develop significant insight into the behavior of complicated non-linear systems with just a little math, a little art and a little modeling software. By themselves, these tools can lead to frustration. However, when combined in the right ways they can give you surprising powers of understanding. The purpose of this tutorial is to give you practice and guidance into the basic tricks of the trade so that when you are done you will be able to